Expand the expression (8t-4)(2t+5)

 Exercise

$\left(8t-4\right)\left(2t+5\right)$

 

Multiply the single term $2t+5$ by each term of the polynomial $\left(8t-4\right)$

$8t\left(2t+5\right)-4\left(2t+5\right)$

 

Multiply the single term $8t$ by each term of the polynomial $\left(2t+5\right)$

$16t\cdot t+40t-4\left(2t+5\right)$

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When multiplying two powers that have the same base ($t$), you can add the exponents

$16t^2+40t-4\left(2t+5\right)$

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Multiply the single term $-4$ by each term of the polynomial $\left(2t+5\right)$

$16t^2+40t-8t-20$

 

Combining like terms $40t$ and $-8t$

$16t^2+32t-20$

$16t^2+32t-20$

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